{"id":311,"date":"2023-07-06T12:03:47","date_gmt":"2023-07-06T12:03:47","guid":{"rendered":"https:\/\/mathority.org\/pt\/coeficiente-principal-de-um-polinomio\/"},"modified":"2023-07-06T12:03:47","modified_gmt":"2023-07-06T12:03:47","slug":"coeficiente-principal-de-um-polinomio","status":"publish","type":"post","link":"https:\/\/mathority.org\/pt\/coeficiente-principal-de-um-polinomio\/","title":{"rendered":"Coeficiente dominante de um polin\u00f4mio"},"content":{"rendered":"<p>Nesta p\u00e1gina explicamos como encontrar a inclina\u00e7\u00e3o de um polin\u00f4mio. Al\u00e9m disso, voc\u00ea ver\u00e1 v\u00e1rios exemplos de como encontrar o coeficiente l\u00edder de um polin\u00f4mio. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-coeficiente-principal-de-un-polinomio\"><\/span> Qual \u00e9 o coeficiente l\u00edder de um polin\u00f4mio?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A defini\u00e7\u00e3o do coeficiente l\u00edder de um polin\u00f4mio \u00e9 a seguinte:<\/p>\n<p> <strong>Em matem\u00e1tica, a inclina\u00e7\u00e3o de um polin\u00f4mio \u00e9 o coeficiente do termo com maior grau do referido polin\u00f4mio, ou seja, a inclina\u00e7\u00e3o de um polin\u00f4mio \u00e9 o n\u00famero que acompanha o x com o expoente O mais alto.<\/strong><\/p>\n<p> Por exemplo, o coeficiente principal do seguinte polin\u00f4mio \u00e9 5:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d912ef5b3a5931d6904b2f896c67671f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=5x^3-4x^2+3x+7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> O mon\u00f4mio de maior grau do polin\u00f4mio acima \u00e9 <sup>5\u00d73<\/sup> (mon\u00f4mio de 3 graus), portanto, o coeficiente do termo de maior grau \u00e9 5. E, portanto, o coeficiente principal do polin\u00f4mio \u00e9 igual a 5.<\/p>\n<p> Como voc\u00ea pode ver, a inclina\u00e7\u00e3o \u00e9 uma caracter\u00edstica relevante para um polin\u00f4mio. Bem, outra propriedade polinomial muito importante \u00e9 o grau de um polin\u00f4mio. Por isso deixo para voc\u00eas este link que explica <a href=\"https:\/\/mathority.org\/pt\/grau-de-um-polinomio\/\"><span style=\"text-decoration: underline;\">o que \u00e9 o grau de um polin\u00f4mio<\/span><\/a> e como se determina o grau de qualquer tipo de polin\u00f4mio (por exemplo, o grau de um polin\u00f4mio com duas ou mais vari\u00e1veis). <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-como-hallar-el-coeficiente-principal-de-un-polinomio\"><\/span> Exemplos de como encontrar o coeficiente l\u00edder de um polin\u00f4mio<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Agora que sabemos identificar a inclina\u00e7\u00e3o de um polin\u00f4mio, vamos praticar com v\u00e1rios exemplos trabalhados.<\/p>\n<ul>\n<li> Exemplo de coeficiente dominante de um polin\u00f4mio de grau 4:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cb8c7f4a60ecc5cb96df9a8da256ed95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=6x^2+3x^4-5x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"207\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> O termo de maior grau do polin\u00f4mio \u00e9 <sup>3&#215;4<\/sup> , ent\u00e3o a inclina\u00e7\u00e3o do polin\u00f4mio \u00e9 3.<\/p>\n<p> O termo de maior grau de um polin\u00f4mio tamb\u00e9m \u00e9 chamado <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/pt\/termo-principal-de-um-polinomio\/\">de termo dominante de um polin\u00f4mio<\/a><\/span> . No link anterior voc\u00ea descobrir\u00e1 porque \u00e9 t\u00e3o importante entender esse conceito.<\/p>\n<ul>\n<li> Exemplo de coeficiente dominante de um polin\u00f4mio de grau 5:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fa3caba11db1e8efb6a1c780be25e0c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=8x^5-2x^4+x^2+9\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"207\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> O termo com maior grau do polin\u00f4mio \u00e9 8x <sup>5<\/sup> , ent\u00e3o a inclina\u00e7\u00e3o do polin\u00f4mio \u00e9 8. Observe que se for um polin\u00f4mio ordenado, a inclina\u00e7\u00e3o do polin\u00f4mio corresponde ao primeiro n\u00famero encontrado no polin\u00f4mio.<\/p>\n<ul>\n<li> Exemplo de coeficiente dominante de um polin\u00f4mio de grau 7:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-82f00688f03872922191a582105d8279_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=-6x^7+5x^4+2x^2-2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"239\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> O elemento de maior grau do polin\u00f4mio \u00e9 <sup>-6&#215;7<\/sup> , ent\u00e3o a inclina\u00e7\u00e3o do polin\u00f4mio \u00e9 -6. Observe que o sinal negativo tamb\u00e9m faz parte do coeficiente.<\/p>\n<p> Por fim, lembre-se que o primeiro coeficiente de um polin\u00f4mio \u00e9 muito importante para <a href=\"https:\/\/mathority.org\/pt\"><span style=\"text-decoration: underline;\">a fatora\u00e7\u00e3o<\/span><\/a> . Se voc\u00ea ainda n\u00e3o sabe ou n\u00e3o tem total clareza sobre como os polin\u00f4mios s\u00e3o fatorados, aconselho que d\u00ea uma olhada na p\u00e1gina vinculada, pois \u00e9 uma opera\u00e7\u00e3o muito importante em polin\u00f4mios. Explica por que o coeficiente l\u00edder de um polin\u00f4mio pode alterar a fatora\u00e7\u00e3o de um polin\u00f4mio e, al\u00e9m disso, voc\u00ea ver\u00e1 exemplos de todos os tipos de polin\u00f4mios fatorados.<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Nesta p\u00e1gina explicamos como encontrar a inclina\u00e7\u00e3o de um polin\u00f4mio. Al\u00e9m disso, voc\u00ea ver\u00e1 v\u00e1rios exemplos de como encontrar o coeficiente l\u00edder de um polin\u00f4mio. Qual \u00e9 o coeficiente l\u00edder de um polin\u00f4mio? A defini\u00e7\u00e3o do coeficiente l\u00edder de um polin\u00f4mio \u00e9 a seguinte: Em matem\u00e1tica, a inclina\u00e7\u00e3o de um polin\u00f4mio \u00e9 o coeficiente do &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/pt\/coeficiente-principal-de-um-polinomio\/\"> <span class=\"screen-reader-text\">Coeficiente dominante de um polin\u00f4mio<\/span> Leia mais &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[21],"tags":[],"class_list":["post-311","post","type-post","status-publish","format-standard","hentry","category-polinomios"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Coeficiente dominante de um polin\u00f4mio - Matoridade<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/pt\/coeficiente-principal-de-um-polinomio\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Coeficiente dominante de um polin\u00f4mio - Matoridade\" \/>\n<meta property=\"og:description\" content=\"Nesta p\u00e1gina explicamos como encontrar a inclina\u00e7\u00e3o de um polin\u00f4mio. 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Al\u00e9m disso, voc\u00ea ver\u00e1 v\u00e1rios exemplos de como encontrar o coeficiente l\u00edder de um polin\u00f4mio. Qual \u00e9 o coeficiente l\u00edder de um polin\u00f4mio? 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